This experimental program has a direct link to cosmology. One of the most important questions connecting the two fields is related to the fact that the Cabbibo-Kobayashi-Maskawa (CKM) matrix, the only source of \({\cal CP}\)  violation in the SM, cannot explain the observed baryon asymmetry of the universe (BAU), as the SM prediction is off by many orders of magnitude [1]}, [2]}. Consequently, additional sources of \({\cal CP}\)  violation must exist in nature. The main idea of this work is to investigate to which extent \({\cal CP}\)  violation beyond the CKM matrix can be present in the interactions of the detected Higgs boson. Specifically we investigate here the interaction between the Higgs boson and the top quark.
